Then you dont believe VEDHAS, UPANISHADS, Geeta, Ramayana? none of them support your idea.
how can you say who believe idol worship also Hindu, and who oppose idol worship also hindu. quite controvercy.
then what is happening in India.
Go into Vedhas, read them fully. find out what Vedhas say about God, know what vedhas tell how to live. your statement is not at all supported by Vedhas.
